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Problem: Dota2 Senate

Explore how to use queue data structures to simulate a round-based voting procedure in the Dota2 Senate problem. Understand how to represent and manipulate senators' actions using two queues for Radiant and Dire parties, applying an optimal banning strategy. Gain insights into implementing this algorithm in Python and analyze its time and space complexity for efficient problem-solving.

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Statement

In the world of Dota22, there are two parties: the Radiant and the Dire.

The Dota22 senate is composed of senators belonging to these two parties. The senate must vote on a change to the game through a round based procedure. In each round, every senator (in order) who still has voting rights may exercise exactly one of the following actions:

  • Ban a senator: Choose one other senator and permanently revoke all of their rights for the current round and all subsequent rounds.

  • Announce victory: If all senators who still retain voting rights belong to the same party, this senator may declare victory for that party.

You are given a string senate of length n ...